Question

Linear Algebra Q:

In RREF form

1 0 1 5
0 1 0 -1
0 0 0 0

so x+z=5 and y=-1....is z a free variable? how would i write up the soln to this matrix?

Answer 1

what was wrong with the other solution?

Answer 2

since the last row is all zeros, there is an infinite number of solutions; 0 always = 0

Answer 3

yes, the 3rd variable is free so you would have an homogenous part and a particular part

Answer 4

z<-1,0,1> + <5,-1,0> would be parametric solution

Answer 5

so, would z=t and then x=5-t? than kyou for ur response....if u posted previous respnses,....i did n't see them. apologies

Answer 6

thats one way to write it up yes :)

Answer 7

much appreciated